Transcript PiSpeak Why Debate…

WELCOME!
Before we begin, prepare an argument
for each of the following:
•The best movie is ______.
• The most important math topic is ___.
• ___________is the best method for solving
the system:
y  2x
y  x 1
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Arguments
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ARGUMENT - a statement made with sound reasoning.
Every argument has two key parts:
CLAIM - the controversial statement being made.
WARRANT - the justification for the claim.
ARGUMENT = CLAIM + WARRANT
“My CLAIM is ___________
and my WARRANT is _____________________”
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Activity #1: Soapbox Debate
Name, Claim+Warrant
•The best movie is ______.
• The most important math topic is ___.
• ___________is the best method for solving
the system:
y  2x
y  x 1
ARGUMENT = CLAIM + WARRANT
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Backing up…
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Some Introductions
Chris Luzniak
UA School for
Law & Justice
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A video of my class…
http://mass.pbslearningmedia.org/resource/mtc13.pd.math.deb/encouraging-debate/
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Why Debate?
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Socratic Method
Student Centered
Critical Thinking skills
Questioning skills
Public speaking skills
Literacy skills
Rhetoric skills
Research skills
Public Speaking skills
Evidence skills
Note taking skills
Refutation skills
Critical Pedagogy Skills
Teamwork Skills!
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Civics
Current Events
Philosophy
Critical Theory
Critical Thinking
Humanities
Rhetoric
Political Science
Economics
• Debate Across the
Curriculum – any
subject area
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Why Debate…in STEM?
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Meaningfully Engages Large Classes
Danielson connections
Improves Graduation Rates & College Readiness
Common Core connections:
CCSS.Math.Practice.MP3 Construct viable
arguments and critique the reasoning of others.
• “students understand and use stated assumptions,
definitions, and previously established results in constructing
arguments…They justify their conclusions, communicate
them to others, and respond to arguments of others.”
• “students try to communicate precisely to others…they have
learned to examine claims and make explicit use of
definitions.”
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From Educators…
“The use of debate in my classroom has increased
the motivation and engagement of my most
apathetic students. They love the competitive nature
of debate and eagerly delve into texts that they
otherwise typically avoid.”
-Science Teacher
“Debate has inspired students to think more critically
about math’s applications in the real world…and about
the content itself.” -Math Teacher
“The work…has helped us close achievement gaps
by empowering students to believe in themselves and
push beyond [their] limits.”
-Superintendent BPS
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Oral Arguments
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Activity #1: Soapbox Debate
Name, Claim+Warrant
•The best movie is ______.
•Calculators should be required in class.
• The most important math topic is ___.
• ___________is the best method for solving
the system: y  2 x
y  x 1
ARGUMENT = CLAIM + WARRANT
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Activity #2: Circle Debate
Summarize, Claim+Warrant
Always, Sometimes or Never?
1. Max gets a pay raise of 30%. Jim gets a pay raise
of 25%. So Max gets the bigger pay raise.
2. When you cut a piece off a shape, you reduce its
area and perimeter.
3.
4 and 2 x are co-terminal on the Unit Circle.
ARGUMENT = CLAIM + WARRANT
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Activity #3: Point. Counter-point.
Claim+Warrant
Would you rather….(a) Have crayons for teeth
(b) Have spaghetti for hair
Would you rather solve this problem…
(a) Using a proportion
“Find 45% of 80”(b) Making into a decimal
and multiplying
ARGUMENT = CLAIM + WARRANT
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Activity #4: Table Debates
Team A: It is better to solve by
breaking the shape into rectangles.
Team B: It is better to solve by finding
the large rectangle and subtracting the
missing piece(s).
ARGUMENT = CLAIM + WARRANT
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Activity #4: Table Debates
Problem:
sin(
11
6
)
Side A: Using a reference angle is easier
than converting to degrees because…
Side B: Converting to degrees is easier
than using a reference angle because…
ARGUMENT = CLAIM + WARRANT
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How to Start
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1. Write DEBATEABLE Questions
• Always / Sometimes / Never
• Agree / Somewhat Agree / Disagree
• Should
• Best/Worst (method, solution…)
• Biggest/Smallest
• Most
• Weirdest/Coolest
• Variables
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Which problem shows the BEST mistake?
9
1) 3 44b c
3 4 11 b
2)
9
3  2 11  b
3
3
3
6b 11c
c
c
200 x y
2 100 x
2
x y
2
y
2
8
y
2
2  10 x x yyyy
xy
4
20 x
y
2
2. Give Structure/Sentence Starters
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Some structures…
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3. Make it exciting/personal/engaging
Make it Debatable
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Graph the function
y  8 sin( 15 x)  10

The BEST way to graph a sine
function is…
(For example,
y  8 sin( 15 x)  10 )

More Examples
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Paragraph Debate
1.There are an infinite number of Pythagorean
triples (three numbers that work in the
Pythagorean theorem).
2. The square root of a number is always
smaller than the original number.
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Classwork/Proof
KenKen!
3-
2÷
2
1-
5+
2÷
9x
4
•For a 4x4 puzzle, fill in with numbers 1-4.
•Do not repeat a number in any row or column.
•The numbers in each heavily outlined set of squares, called cages, must
combine (in any order) to produce the target number in the top corner of
the cage using the mathematical operation indicated.
•Cages with just one box should be filled in with the target number in the
top corner.
FULL SCALE DEBATE
A video of my class…
http://mass.pbslearningmedia.org/resource/mtc13.pd.math.deb/encouraging-debate/
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Contact Me
[email protected]
Luzniak.com
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clopendebate.wordpress.com